Berlin 2018 – scientific programme
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SOE: Fachverband Physik sozio-ökonomischer Systeme
SOE 24: The Physics of Power-Grids – Fluctuations, Synchronization and Network Structures (joint session DY/SOE)
SOE 24.1: Talk
Friday, March 16, 2018, 10:00–10:15, EB 107
Qualitative Stability and Synchronicity Analysis of Power Network Models in Port-Hamiltonian form — •Simona Olmi1, Volker Mehrmann2, Riccardo Morandini2, and Eckehard Schöll1 — 1Institut fuer Theoretische Physik, Sekr. EW 7-1, TU Berlin, Hardenbergstr. 36, D-10623 Berlin — 2Institut fuer Mathematik MA 4-5, TU Berlin, Str. des 17. Juni 136, D-10623 Berlin
In view of highly decentralized and diversified power generation concepts, in particular with renewable energies such as wind and solar power, the analysis and control of the stability and the synchronization of power networks is an important task that requires different levels of modeling detail for different tasks. A frequently used qualitative approach relies on simplified nonlinear network models like the Kuramoto model. Although based on basic physical principles, the usual formulation in form of a system of coupled ordinary differential equations is not always adequate. We present a new energy-based formulation of the Kuramoto model as port-Hamiltonian system of differential-algebraic equations. This leads to a very robust representation of the system with respect to disturbances, it encodes the underlying physics, such as the dissipation inequality or the deviation from synchronicity, directly in the structure of the equations, it explicitly displays all possible constraints and allows for robust We demonstrate the advantages of the modified modeling approach with analytic results and numerical experiments.